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A divergent Teichmuller geodesic with uniquely ergodic vertical foliation

Y. Cheung, H. Masur

math.DSarXiv:math/0501296

Abstract

We construct an example of a quadratic differential whose vertical foliation is uniquely ergodic and such that the Teichmuller geodesic determined by the quadratic differential diverges in the moduli space of Riemann surfaces.

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